On a faithful representation of Sturmian morphisms

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21240%2F23%3A00362526" target="_blank" >RIV/68407700:21240/23:00362526 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21340/23:00362526
Result on the web
<a href="https://doi.org/10.1016/j.ejc.2023.103707" target="_blank" >https://doi.org/10.1016/j.ejc.2023.103707</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.ejc.2023.103707" target="_blank" >10.1016/j.ejc.2023.103707</a>

Result language
angličtina
Original language name
On a faithful representation of Sturmian morphisms
Original language description
The set of morphisms mapping any Sturmian sequence to a Sturmian sequence forms together with composition the so-called monoid of Sturm. For this monoid, we define a faithful representation by 3x3-matrices with integer entries. We find three convex cones in R^3 and show that a matrix R in Sl(Z,3) is a matrix representing a Sturmian morphism if the three cones are invariant under multiplication by R or R^{1}. This property offers a new tool to study Sturmian sequences. We provide alternative proofs of four known results on Sturmian sequences fixed by a primitive morphism and a new result concerning the square root of a Sturmian sequence.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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